Details

sample162.0ms

Algorithm

intervals

Results

94.0ms	84×	body	10240	exit
30.0ms	257×	body	80	valid
9.0ms	7×	body	1280	valid
7.0ms	11×	body	640	valid
3.0ms	7×	body	320	valid
0.0ms	1×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
2	21
1	14
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize49.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1 (exp x))) (* x y))
0.0b	(+ 1 (exp x))
0.8b	(log (+ 1 (exp x)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
8×	`log-prod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `log-div` `associate--l+` `add-exp-log`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 48

Calls

3 calls:

17.0ms	(- (log (+ 1 (exp x))) (* x y))
10.0ms	(+ 1 (exp x))
8.0ms	(log (+ 1 (exp x)))

series168.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- (log (+ 1 (exp x))) (* x y))
14.0ms	(+ 1 (exp x))
90.0ms	(log (+ 1 (exp x)))

simplify1.4s

Counts

57 → 57

Iterations

Iter	Nodes
done	2000
4	2000
3	1509
2	472
1	194
0	84

prune263.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ (* (* x 1/2) x) (+ x 2))) (* x y))
0.0b	(+ (* (* x 1/2) x) (+ x 2))
9.0b	(log (+ (* (* x 1/2) x) (+ x 2)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
6×	`log-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `log-div` `add-exp-log`
3×	`sum-log` `flip3-+` `add-cbrt-cube` `associate--l+` `flip-+` `insert-posit16`
2×	`associate--l-`
1×	`+-commutative` `associate-+r+` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 47

Calls

3 calls:

29.0ms	(- (log (+ (* (* x 1/2) x) (+ x 2))) (* x y))
46.0ms	(+ (* (* x 1/2) x) (+ x 2))
37.0ms	(log (+ (* (* x 1/2) x) (+ x 2)))

series156.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (log (+ (* (* x 1/2) x) (+ x 2))) (* x y))
38.0ms	(+ (* (* x 1/2) x) (+ x 2))
48.0ms	(log (+ (* (* x 1/2) x) (+ x 2)))

simplify1.2s

Counts

56 → 56

Iterations

Iter	Nodes
done	2001
3	2001
2	958
1	285
0	108

prune318.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize59.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (log (+ (* (* x 1/2) x) (+ x 2))) (log (+ (* (* x 1/2) x) (+ x 2))))
9.0b	(log (+ (* (* x 1/2) x) (+ x 2)))
9.0b	(log (+ (* (* x 1/2) x) (+ x 2)))
9.0b	(log (+ (* (* x 1/2) x) (+ x 2)))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
15×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity`
13×	`add-cube-cbrt`
9×	`add-exp-log` `log-pow`
6×	`log-div` `add-cbrt-cube` `swap-sqr`
4×	`associate-r` `associate-l` `insert-posit16` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `rem-log-exp` `flip-+`
1×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

83.0ms	(* (log (+ (* (* x 1/2) x) (+ x 2))) (log (+ (* (* x 1/2) x) (+ x 2))))
19.0ms	(log (+ (* (* x 1/2) x) (+ x 2)))
38.0ms	(log (+ (* (* x 1/2) x) (+ x 2)))
37.0ms	(log (+ (* (* x 1/2) x) (+ x 2)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (log (+ (* (* x 1/2) x) (+ x 2))) (log (+ (* (* x 1/2) x) (+ x 2))))
52.0ms	(log (+ (* (* x 1/2) x) (+ x 2)))
55.0ms	(log (+ (* (* x 1/2) x) (+ x 2)))
53.0ms	(log (+ (* (* x 1/2) x) (+ x 2)))

simplify1.2s

Counts

94 → 94

Iterations

Iter	Nodes
done	2009
3	2009
2	1310
1	392
0	139

prune543.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize56.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (log (+ (* (* x 1/2) x) (+ x 2))) (log (+ (* (* x 1/2) x) (+ x 2))))
9.0b	(log (+ (* (* x 1/2) x) (+ x 2)))
9.0b	(log (+ (* (* x 1/2) x) (+ x 2)))
9.8b	(cbrt (* (* (log (+ (* (* x 1/2) x) (+ x 2))) (log (+ (* (* x 1/2) x) (+ x 2)))) (+ (+ (log 2) (* 1/8 (* x x))) (* x 1/2))))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1`
14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`log-prod` `add-cube-cbrt`
8×	`add-exp-log` `log-pow`
6×	`add-cbrt-cube` `swap-sqr`
4×	`log-div` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`
2×	`cbrt-div` `rem-log-exp` `associate-*r/`
1×	`cbrt-prod` `pow2` `pow-plus` `pow1/3` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

78.0ms	(* (log (+ (* (* x 1/2) x) (+ x 2))) (log (+ (* (* x 1/2) x) (+ x 2))))
25.0ms	(log (+ (* (* x 1/2) x) (+ x 2)))
22.0ms	(log (+ (* (* x 1/2) x) (+ x 2)))
40.0ms	(cbrt (* (* (log (+ (* (* x 1/2) x) (+ x 2))) (log (+ (* (* x 1/2) x) (+ x 2)))) (+ (+ (log 2) (* 1/8 (* x x))) (* x 1/2))))

series690.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (log (+ (* (* x 1/2) x) (+ x 2))) (log (+ (* (* x 1/2) x) (+ x 2))))
38.0ms	(log (+ (* (* x 1/2) x) (+ x 2)))
36.0ms	(log (+ (* (* x 1/2) x) (+ x 2)))
551.0ms	(cbrt (* (* (log (+ (* (* x 1/2) x) (+ x 2))) (log (+ (* (* x 1/2) x) (+ x 2)))) (+ (+ (log 2) (* 1/8 (* x x))) (* x 1/2))))

simplify2.9s

Counts

91 → 91

Iterations

Iter	Nodes
done	2007
2	2007
1	1350
0	389

prune776.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes145.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.3s	2372×	body	10240	exit
1.1s	8449×	body	80	valid
169.0ms	269×	body	640	valid
106.0ms	120×	body	1280	valid
62.0ms	189×	body	320	valid
26.0ms	122×	body	160	valid